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Calculus
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Let f(u, v) = u + v + uv2 and u = e^x + y, v = xy. Use the

Chain Rule to compute the oartial deivatives in respect to x andy.

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Related questions

Show transcribed image text
The function F(x,y) depends on x and y where x = x(u, v) and y = y(u, v). then the function z = F( x(u, v) , y(u, v)) depends on u and v. Given F(x, y) = x + y^2 where x = (u+v) and y = (u-v), use the chain rule to find dF/du and dF/dv.

Use the Chain Rule to find the indicated partial derivatives.
z = x^3 + xy^2, x = uv^2 + w^3, y = u + v*e^w

[(partial z)/(partial u), (partial z)/(partial v), (partial z)/(partial w)] when u = 2, v = 1, w = 0
[(partial z)/(partial u)] = ?

[(partial z)/(partial v)] = ?

[(partial z)/(partial w)] =?

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